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Unformatted text preview: APSC112 Problem Set 7 (Last Set) Magnetic Induction and Sources of Field Part A: Faradays and Lenzs Laws of Induction A1. See Fig. A1. A pair of parallel rails aligned along x , separated by w have zero resistance. Two bars, each of resistance R , are placed across the rails parallel to y . One bar is welded in position, the other moves with no friction. There is a uniform, fixed magnetic field ~ B = B z . (i) The free bar is pulled along the rails at velocity v by an externally applied force F ext . Assuming x = x at t = 0, what is magnetic flux linking the circuit at time t , and the emf in the circuit? (ii) What is the power dissipated in both bars? (iii) What is the magnetic force due to the induced current exerted on each bar ? What value of F ext is required to keep v constant? (iv) What is the rate of doing work by the agent responsible for F ext ? Show that this result is identical to that found for part (ii). (v) What work is done by the magnetic forces on each bar? Where does this work go? A2. Fig. A2 shows a circular coil with N turns and radius r which is rotating about the x axis (clockwise looking along + x ) at a constant angular velocity , and lies in the xy plane at t = 0. A uniform magnetic field= 0....
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This note was uploaded on 12/01/2010 for the course APPLIED SC APSC 111 taught by Professor Professorsomi during the Fall '10 term at Queens University.
- Fall '10